1
GATE ECE 2002
Subjective
+5
-0
A unity feedback system has the plant transfer function
Gp(s)=$${1 \over {\left( {s + 1} \right)\left( {2s + 1} \right)}}$$
(a) Determine the frequency at which the plant has a phase lah of 90o.
(b) An intergral controller with transfer function Gc(s)=$${k \over s}$$ , isplaced in the forwardpath the value of k such that the compensated system has an open loop gain margin of 2.5.
(c) Determine the steady state errors of the compensated system to unit-step and unit-ramp inputs.
(a) Determine the frequency at which the plant has a phase lah of 90o.
(b) An intergral controller with transfer function Gc(s)=$${k \over s}$$ , isplaced in the forwardpath the value of k such that the compensated system has an open loop gain margin of 2.5.
(c) Determine the steady state errors of the compensated system to unit-step and unit-ramp inputs.
2
GATE ECE 2001
Subjective
+5
-0
For the feedback control system shown in the figure, the process transfer function is
Gp(s) = $${1 \over {s(s + 1)}},$$ and the amplification factor of the Power amplifier is K$$ \ge $$0.
The design specifications required for the system, time constant is 1 sec and a damping ratio of 0.707.
(a) Find the desired location of the closed loop poles.
(b) Write down the requiredcharacteristic equation for the system. Hense determine the PD controller transfer function Gp(s) when K = 1.
(c) Sketch the root-locus for the system.
![GATE ECE 2001 Control Systems - Compensators Question 4 English](https://gateclass.cdn.examgoal.net/examside/questions/542234e1e0eebbac4fae45992e87fec084221162086ed4a4d863f9aca5c7d62c.jpg)
(a) Find the desired location of the closed loop poles.
(b) Write down the requiredcharacteristic equation for the system. Hense determine the PD controller transfer function Gp(s) when K = 1.
(c) Sketch the root-locus for the system.
Questions Asked from Compensators (Marks 5)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics